Question

If 4x⁴ + 7x³ - 4x² - 7x + p is completely divisible by x³-x then find the value of p.

Answer 1

Answer:

p=0

Step-by-step explanation:

f(x)=4x⁴ + 7x³ - 4x² - 7x + p

x(x^2-1)=0

x(x-1)(x+1)=0

roots of x^3-x are 0,-1,+1

so, f(0)=f(1)=f(-1)=0

f(0)=4*0 +7*0-4*0-7*0+p=0

 p=0

you can also solve by division method